On the product property of the pluricomplex Green function

Details On the product property of the pluricomplex Green function On the product property of the pluricomplex Green function

1996-02-26

arxiv.org/abs/math/9602202v1

Mathematics

Complex Variables

Scientific paper

We prove that the pluricomplex Green function has the product property
$g_{D_1\times D_2}=\max\{ g_{D_1},g_{D_2}\}$ for any domains $D_1\subset\Bbb
C^n$ and $D_2\subset\Bbb C^m$.

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